Adaptive Perseverance: Continue simplifying and solving despite challenges.
Learner's Mindset: Seek to understand the relationship between rational exponents and radicals.
Critical Thinking: Analyze and solve equations involving rational exponents and radicals.
Communication: Articulate solutions and explanations effectively.
How can properties of exponents be applied to simplify expressions with rational exponents?
How can equations involving rational exponents and radicals be solved?
What is the relationship between rational exponents and radicals?
Simplify expressions using properties of exponents with rational exponents.
Solve equations that include rational exponents and radicals.
Explain and demonstrate the connection between rational exponents and radicals.
Students are able to convert quantitative problems that use words into mathematical expressions.
Common Core State Standards (CCSS):
CCSS.MATH.CONTENT.HSN.RN.A.1: Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents.
CCSS.MATH.CONTENT.HSN.RN.A.2: Rewrite expressions involving radicals and rational exponents using the properties of exponents.
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